4 questions, of increasing complexity, on subtracting decimals.

What's A, if B% of A is C?

Subtracting fractions.

Finding the numerators & denominators of 4 equivalent fractions.

Converting a fraction to a percentage by cancelling (without a calculator).

Finding a percentage of an amount.

For example, 20% of 150 = 30

What's A as a percentage of B?

8/9/15

Practice of cancelling a fraction, where the denominator will reduce to either 5,10, 20, 25, or 50 and then multiplying numerator and denominator by either 20, 10, 5, 4 or 2 respectively, to represent the fraction as a percentage.  A helpful strategy in the QTS test...

Tweaked the variables to avoid duplicate fractions in the 2 parts & make the second slightly more tricky, on average.  Used the Testing facility to prevent 100 or 200 appearing in the denominators.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Student is asked whether a quadratic equation can be factorised. If they say "yes", they're asked to give the factorisation.

Solve a system of linear equations using Gaussian elimination.

Two questions on solving systems of simultaneous equations.

Find the determinants of three $2 \times 2$ invertible matrices.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Find the first few terms of the Maclaurin and Taylor series of given functions.

Solve a pair of linear equations by writing an equivalent matrix equation.

Questions which rely on knowledge of standard integrals.

Find an integral by choosing a suitable substitution.

Integrate the product of two functions by the method of integration by parts.

Integrate various functions by rewriting them as partial fractions.

Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the chain rule to differentiate various functions.